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Abstract
We use localization to describe the restriction map from equivariant Chow
cohomology to ordinary Chow cohomology for complete toric varieties in terms of
piecewise polynomial functions and Minkowski weights. We compute examples
showing that this map is not surjective in general, and that its kernel is not always
generated in degree one. We prove a localization formula for mixed volumes of
lattice polytopes and, more generally, a Bott residue formula for toric vector
bundles.
Keywords
toric variety, localization, tropical geometry, piecewise
polynomial, Minkowski weight
Mathematical Subject Classification 2000
Primary: 14M25
Secondary: 14C17, 52B20
Milestones
Received: 2 April 2007
Revised: 22 October 2007
Accepted: 20 November 2007
Published: 15 March 2008